基于双曲线回归三参模型的分析方法研究

Study on Method of Analysis Based on Hyperbola Regression Three-parameter Model

针对双曲线回归常用两参数模型的不足 ,引入第三参数 ,建立了双曲线回归三参模型 .从理论上证明了其建模原理的可靠性及建模思想的合理性 ,并给出确定各参数的方法 ,以陆浑水库大坝沉降观测资料分析为例 ,通过对建立起的双曲线回归三参模型、双曲线回归常用模型及其它模型的成果对比分析 ,充分验证了该双曲线回归三参模型的实用性 .

In view of the shortcoming of the general hyperbola regression two-parameter model, this paper introduces the third parameter establishes the hyperbola regression three-parameter model. The reliability of the modeling principle and rationality of the modeling method have been proven theoretically, and two kinds of methods to calculate each parameter are given. In the example of the observed data analysis of Luhun Dam settlement, the hyperbola regression three-parameter model, the general hyperbola regression model and other models have been established. The contrast analysis of the result shows that it is very effective in establishing such hyperbola regression three-parameter model.